MATH 6702: Differential Geometry

October 20, 2013
Riemannian manifolds, distance, volume; covariant derivatives, Levi-Civita connection; geodesics, curvatures: sectional, Ricci, scalar; Jacobi fields, conjugate points; Rauch comparison, Hopf-Rinow, Hadamard, Preissman's and Berger's Sphere Theorems. Prereq: 6701 (765). Not open to students with credit for 766.
Credit Hours: 
3.0

Textbook

Title: 
Riemannian Geometry
Author: 
Gallot, Sylvestre, Hulin, Dominique, Lafontaine, Jacques
Publisher: 
Springer-Verlag Berlin Heidelberg
ISBN: 
978-3-642-18855-8


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